Earlier quoted context omitted.
"The right of the people to be secure in their persons, houses, papers, and effects, against unreasonable searches and seizures, shall not be violated, and no Warrants shall issue, but upon probable cause , supported by Oath or affirmation, and particularly describing the place to be searched, and the persons or things to be seized."
PRISM, as described, is a warrant-based program. But you're right...we shouldn't let facts get in the way of a proper angry mob.
You need a lawyer to translate anything our leaders (biz, gov or other) say. It's all form with very little substance. If you thought you heard something definitive you almost certainly misunderstood.